To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

3y + 1 < -8 + y
3y < -8 + y - 1
3y - y < -8 - 1
2y < -9
y < \( \frac{-9}{2} \)
y < -4\(\frac{1}{2}\)

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

z² - 4z - 10 = 4z - 1
z² - 4z - 10 + 1 = 4z
z² - 4z - 4z - 9 = 0
z² - 8z - 9 = 0

Next, factor the quadratic equation:

z² - 8z - 9 = 0
(z + 1)(z - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 9) must equal zero:

If (z + 1) = 0, z must equal -1
If (z - 9) = 0, z must equal 9

So the solution is that z = -1 or 9

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.